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Extensions 1→N→G→Q→1 with N=C2xC30 and Q=D4

Direct product G=NxQ with N=C2xC30 and Q=D4
dρLabelID
D4xC2xC30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C2xC30 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2xC30):1D4 = D30:16D4φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):1D4480,847
(C2xC30):2D4 = D30:17D4φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):2D4480,902
(C2xC30):3D4 = Dic15:12D4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):3D4480,904
(C2xC30):4D4 = (C2xC30):D4φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):4D4480,639
(C2xC30):5D4 = (C2xC6):8D20φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):5D4480,640
(C2xC30):6D4 = (C2xC10):4D12φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):6D4480,642
(C2xC30):7D4 = C15:C22wrC2φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):7D4480,644
(C2xC30):8D4 = (C2xC6):D20φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):8D4480,645
(C2xC30):9D4 = (C2xC10):11D12φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):9D4480,646
(C2xC30):10D4 = Dic15:18D4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):10D4480,647
(C2xC30):11D4 = D30:18D4φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):11D4480,648
(C2xC30):12D4 = D30:19D4φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):12D4480,649
(C2xC30):13D4 = C22xC15:D4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):13D4480,1118
(C2xC30):14D4 = C22xC3:D20φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):14D4480,1119
(C2xC30):15D4 = C22xC5:D12φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):15D4480,1120
(C2xC30):16D4 = C3xC22:D20φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):16D4480,675
(C2xC30):17D4 = C3xC23:D10φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):17D4480,730
(C2xC30):18D4 = C3xDic5:D4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):18D4480,732
(C2xC30):19D4 = C5xD6:D4φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):19D4480,761
(C2xC30):20D4 = C5xC23:2D6φ: D4/C2 → C22 ⊆ Aut C2xC30120(C2xC30):20D4480,816
(C2xC30):21D4 = C5xC23.14D6φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30):21D4480,818
(C2xC30):22D4 = C15xC4:D4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):22D4480,926
(C2xC30):23D4 = C60:29D4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):23D4480,895
(C2xC30):24D4 = C22xD60φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):24D4480,1167
(C2xC30):25D4 = C3xC20:7D4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):25D4480,723
(C2xC30):26D4 = C2xC6xD20φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):26D4480,1137
(C2xC30):27D4 = C5xC12:7D4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):27D4480,809
(C2xC30):28D4 = C2xC10xD12φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30):28D4480,1152
(C2xC30):29D4 = C15xC22wrC2φ: D4/C22 → C2 ⊆ Aut C2xC30120(C2xC30):29D4480,925
(C2xC30):30D4 = C24:5D15φ: D4/C22 → C2 ⊆ Aut C2xC30120(C2xC30):30D4480,918
(C2xC30):31D4 = C22xC15:7D4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30):31D4480,1179
(C2xC30):32D4 = C3xC24:2D5φ: D4/C22 → C2 ⊆ Aut C2xC30120(C2xC30):32D4480,746
(C2xC30):33D4 = C2xC6xC5:D4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30):33D4480,1149
(C2xC30):34D4 = C5xC24:4S3φ: D4/C22 → C2 ⊆ Aut C2xC30120(C2xC30):34D4480,832
(C2xC30):35D4 = C2xC10xC3:D4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30):35D4480,1164

Non-split extensions G=N.Q with N=C2xC30 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2xC30).1D4 = D60:10C4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).1D4480,185
(C2xC30).2D4 = C23.7D30φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).2D4480,194
(C2xC30).3D4 = Q8:3Dic15φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).3D4480,197
(C2xC30).4D4 = C22.D60φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).4D4480,851
(C2xC30).5D4 = C8:D30φ: D4/C2 → C22 ⊆ Aut C2xC301204+(C2xC30).5D4480,873
(C2xC30).6D4 = C8.D30φ: D4/C2 → C22 ⊆ Aut C2xC302404-(C2xC30).6D4480,874
(C2xC30).7D4 = C23.22D30φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).7D4480,900
(C2xC30).8D4 = D4:D30φ: D4/C2 → C22 ⊆ Aut C2xC301204+(C2xC30).8D4480,914
(C2xC30).9D4 = D4.8D30φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).9D4480,915
(C2xC30).10D4 = D4.9D30φ: D4/C2 → C22 ⊆ Aut C2xC302404-(C2xC30).10D4480,916
(C2xC30).11D4 = C30.D8φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).11D4480,40
(C2xC30).12D4 = C6.D40φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).12D4480,41
(C2xC30).13D4 = D12:Dic5φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).13D4480,42
(C2xC30).14D4 = C10.D24φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).14D4480,43
(C2xC30).15D4 = D60:12C4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).15D4480,44
(C2xC30).16D4 = D60:15C4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).16D4480,45
(C2xC30).17D4 = C30.Q16φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).17D4480,46
(C2xC30).18D4 = C6.Dic20φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).18D4480,47
(C2xC30).19D4 = Dic6:Dic5φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).19D4480,48
(C2xC30).20D4 = C10.Dic12φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).20D4480,49
(C2xC30).21D4 = Dic30:12C4φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).21D4480,50
(C2xC30).22D4 = Dic30:15C4φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).22D4480,51
(C2xC30).23D4 = C60.96D4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).23D4480,52
(C2xC30).24D4 = C60.97D4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).24D4480,53
(C2xC30).25D4 = C60.98D4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).25D4480,54
(C2xC30).26D4 = C60.99D4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).26D4480,55
(C2xC30).27D4 = D60:13C4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).27D4480,56
(C2xC30).28D4 = D60:16C4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).28D4480,57
(C2xC30).29D4 = C60.7Q8φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).29D4480,61
(C2xC30).30D4 = C30.SD16φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).30D4480,62
(C2xC30).31D4 = C60.Q8φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).31D4480,63
(C2xC30).32D4 = C60.8Q8φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).32D4480,64
(C2xC30).33D4 = C30.20D8φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).33D4480,65
(C2xC30).34D4 = C60.5Q8φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).34D4480,66
(C2xC30).35D4 = C30.24C42φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).35D4480,70
(C2xC30).36D4 = (C2xC6).D20φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).36D4480,71
(C2xC30).37D4 = C15:8(C23:C4)φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).37D4480,72
(C2xC30).38D4 = C15:9(C23:C4)φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).38D4480,73
(C2xC30).39D4 = C2xC15:D8φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).39D4480,372
(C2xC30).40D4 = D20.34D6φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).40D4480,373
(C2xC30).41D4 = C60.36D4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).41D4480,374
(C2xC30).42D4 = D20:21D6φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).42D4480,375
(C2xC30).43D4 = C2xC3:D40φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).43D4480,376
(C2xC30).44D4 = D20:19D6φ: D4/C2 → C22 ⊆ Aut C2xC301204+(C2xC30).44D4480,377
(C2xC30).45D4 = C2xC5:D24φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).45D4480,378
(C2xC30).46D4 = C20.60D12φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).46D4480,379
(C2xC30).47D4 = D60:36C22φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).47D4480,380
(C2xC30).48D4 = C60.38D4φ: D4/C2 → C22 ⊆ Aut C2xC301204+(C2xC30).48D4480,381
(C2xC30).49D4 = C2xC30.D4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).49D4480,382
(C2xC30).50D4 = D20.37D6φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).50D4480,383
(C2xC30).51D4 = C2xC20.D6φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).51D4480,384
(C2xC30).52D4 = D12.37D10φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).52D4480,385
(C2xC30).53D4 = C2xC6.D20φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).53D4480,386
(C2xC30).54D4 = D20.31D6φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).54D4480,387
(C2xC30).55D4 = D60:30C22φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).55D4480,388
(C2xC30).56D4 = C60.63D4φ: D4/C2 → C22 ⊆ Aut C2xC302404-(C2xC30).56D4480,389
(C2xC30).57D4 = C2xC15:SD16φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).57D4480,390
(C2xC30).58D4 = C12.D20φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).58D4480,391
(C2xC30).59D4 = C2xD12.D5φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).59D4480,392
(C2xC30).60D4 = C2xDic6:D5φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).60D4480,393
(C2xC30).61D4 = C2xC15:Q16φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).61D4480,394
(C2xC30).62D4 = C2xC3:Dic20φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).62D4480,395
(C2xC30).63D4 = C2xC5:Dic12φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).63D4480,396
(C2xC30).64D4 = C20.D12φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).64D4480,397
(C2xC30).65D4 = D12.33D10φ: D4/C2 → C22 ⊆ Aut C2xC302404-(C2xC30).65D4480,398
(C2xC30).66D4 = C2xD10:Dic3φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).66D4480,611
(C2xC30).67D4 = (C2xC30).D4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).67D4480,612
(C2xC30).68D4 = C6.(C2xD20)φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).68D4480,613
(C2xC30).69D4 = C2xD6:Dic5φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).69D4480,614
(C2xC30).70D4 = C30.(C2xD4)φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).70D4480,615
(C2xC30).71D4 = C2xD30:4C4φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).71D4480,616
(C2xC30).72D4 = C2xC30.Q8φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).72D4480,617
(C2xC30).73D4 = C10.(C2xD12)φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).73D4480,618
(C2xC30).74D4 = (C2xC10).D12φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).74D4480,619
(C2xC30).75D4 = C2xDic15:5C4φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).75D4480,620
(C2xC30).76D4 = C2xC6.Dic10φ: D4/C2 → C22 ⊆ Aut C2xC30480(C2xC30).76D4480,621
(C2xC30).77D4 = C6.D4:D5φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).77D4480,622
(C2xC30).78D4 = C3xD20:7C4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).78D4480,103
(C2xC30).79D4 = C3xC23:Dic5φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).79D4480,112
(C2xC30).80D4 = C3xD4:2Dic5φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).80D4480,115
(C2xC30).81D4 = C3xC22.D20φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).81D4480,679
(C2xC30).82D4 = C3xC8:D10φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).82D4480,701
(C2xC30).83D4 = C3xC8.D10φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).83D4480,702
(C2xC30).84D4 = C3xC23.18D10φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).84D4480,728
(C2xC30).85D4 = C3xD4:D10φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).85D4480,742
(C2xC30).86D4 = C3xD4.8D10φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).86D4480,743
(C2xC30).87D4 = C3xD4.9D10φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).87D4480,744
(C2xC30).88D4 = C5xD12:C4φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).88D4480,144
(C2xC30).89D4 = C5xC23.7D6φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).89D4480,153
(C2xC30).90D4 = C5xQ8:3Dic3φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).90D4480,156
(C2xC30).91D4 = C5xC23.21D6φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).91D4480,765
(C2xC30).92D4 = C5xC8:D6φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).92D4480,787
(C2xC30).93D4 = C5xC8.D6φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).93D4480,788
(C2xC30).94D4 = C5xC23.23D6φ: D4/C2 → C22 ⊆ Aut C2xC30240(C2xC30).94D4480,814
(C2xC30).95D4 = C5xD4:D6φ: D4/C2 → C22 ⊆ Aut C2xC301204(C2xC30).95D4480,828
(C2xC30).96D4 = C5xQ8.13D6φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).96D4480,829
(C2xC30).97D4 = C5xQ8.14D6φ: D4/C2 → C22 ⊆ Aut C2xC302404(C2xC30).97D4480,830
(C2xC30).98D4 = C15xC4oD8φ: D4/C4 → C2 ⊆ Aut C2xC302402(C2xC30).98D4480,940
(C2xC30).99D4 = Dic30:8C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).99D4480,176
(C2xC30).100D4 = C120:10C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).100D4480,177
(C2xC30).101D4 = C120:9C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).101D4480,178
(C2xC30).102D4 = D60:8C4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).102D4480,181
(C2xC30).103D4 = C2xC24:D5φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).103D4480,867
(C2xC30).104D4 = C2xD120φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).104D4480,868
(C2xC30).105D4 = C40.69D6φ: D4/C4 → C2 ⊆ Aut C2xC302402(C2xC30).105D4480,869
(C2xC30).106D4 = C2xDic60φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).106D4480,870
(C2xC30).107D4 = C2xC60:5C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).107D4480,890
(C2xC30).108D4 = C3xC20.44D4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).108D4480,94
(C2xC30).109D4 = C3xC40:6C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).109D4480,95
(C2xC30).110D4 = C3xC40:5C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).110D4480,96
(C2xC30).111D4 = C3xD20:5C4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).111D4480,99
(C2xC30).112D4 = C6xC40:C2φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).112D4480,695
(C2xC30).113D4 = C6xD40φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).113D4480,696
(C2xC30).114D4 = C3xD40:7C2φ: D4/C4 → C2 ⊆ Aut C2xC302402(C2xC30).114D4480,697
(C2xC30).115D4 = C6xDic20φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).115D4480,698
(C2xC30).116D4 = C6xC4:Dic5φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).116D4480,718
(C2xC30).117D4 = C6xD10:C4φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).117D4480,720
(C2xC30).118D4 = C5xC2.Dic12φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).118D4480,135
(C2xC30).119D4 = C5xC8:Dic3φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).119D4480,136
(C2xC30).120D4 = C5xC24:1C4φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).120D4480,137
(C2xC30).121D4 = C5xC2.D24φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).121D4480,140
(C2xC30).122D4 = C5xC6.C42φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).122D4480,150
(C2xC30).123D4 = C10xC24:C2φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).123D4480,781
(C2xC30).124D4 = C10xD24φ: D4/C4 → C2 ⊆ Aut C2xC30240(C2xC30).124D4480,782
(C2xC30).125D4 = C5xC4oD24φ: D4/C4 → C2 ⊆ Aut C2xC302402(C2xC30).125D4480,783
(C2xC30).126D4 = C10xDic12φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).126D4480,784
(C2xC30).127D4 = C10xC4:Dic3φ: D4/C4 → C2 ⊆ Aut C2xC30480(C2xC30).127D4480,804
(C2xC30).128D4 = C15xC23:C4φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).128D4480,202
(C2xC30).129D4 = C15xC4wrC2φ: D4/C22 → C2 ⊆ Aut C2xC301202(C2xC30).129D4480,207
(C2xC30).130D4 = C15xC22.D4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).130D4480,928
(C2xC30).131D4 = C15xC8:C22φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).131D4480,941
(C2xC30).132D4 = C15xC8.C22φ: D4/C22 → C2 ⊆ Aut C2xC302404(C2xC30).132D4480,942
(C2xC30).133D4 = D60:7C4φ: D4/C22 → C2 ⊆ Aut C2xC301202(C2xC30).133D4480,165
(C2xC30).134D4 = C23.6D30φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).134D4480,166
(C2xC30).135D4 = C60.1Q8φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).135D4480,167
(C2xC30).136D4 = C60.2Q8φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).136D4480,168
(C2xC30).137D4 = D60:9C4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).137D4480,169
(C2xC30).138D4 = Dic30:9C4φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).138D4480,170
(C2xC30).139D4 = C30.29C42φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).139D4480,191
(C2xC30).140D4 = D4:Dic15φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).140D4480,192
(C2xC30).141D4 = Q8:2Dic15φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).141D4480,195
(C2xC30).142D4 = C2xC30.4Q8φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).142D4480,888
(C2xC30).143D4 = C2xD30:3C4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).143D4480,892
(C2xC30).144D4 = C23.28D30φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).144D4480,894
(C2xC30).145D4 = C2xD4:D15φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).145D4480,896
(C2xC30).146D4 = D4.D30φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).146D4480,897
(C2xC30).147D4 = C2xD4.D15φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).147D4480,898
(C2xC30).148D4 = C2xQ8:2D15φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).148D4480,906
(C2xC30).149D4 = Q8.11D30φ: D4/C22 → C2 ⊆ Aut C2xC302404(C2xC30).149D4480,907
(C2xC30).150D4 = C2xC15:7Q16φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).150D4480,908
(C2xC30).151D4 = C2xC30.38D4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).151D4480,917
(C2xC30).152D4 = C3xD20:4C4φ: D4/C22 → C2 ⊆ Aut C2xC301202(C2xC30).152D4480,83
(C2xC30).153D4 = C3xC23.1D10φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).153D4480,84
(C2xC30).154D4 = C3xC10.D8φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).154D4480,85
(C2xC30).155D4 = C3xC20.Q8φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).155D4480,86
(C2xC30).156D4 = C3xD20:6C4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).156D4480,87
(C2xC30).157D4 = C3xC10.Q16φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).157D4480,88
(C2xC30).158D4 = C3xC10.10C42φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).158D4480,109
(C2xC30).159D4 = C3xD4:Dic5φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).159D4480,110
(C2xC30).160D4 = C3xQ8:Dic5φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).160D4480,113
(C2xC30).161D4 = C6xC10.D4φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).161D4480,716
(C2xC30).162D4 = C3xC23.23D10φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).162D4480,722
(C2xC30).163D4 = C6xD4:D5φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).163D4480,724
(C2xC30).164D4 = C3xD4.D10φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).164D4480,725
(C2xC30).165D4 = C6xD4.D5φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).165D4480,726
(C2xC30).166D4 = C6xQ8:D5φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).166D4480,734
(C2xC30).167D4 = C3xC20.C23φ: D4/C22 → C2 ⊆ Aut C2xC302404(C2xC30).167D4480,735
(C2xC30).168D4 = C6xC5:Q16φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).168D4480,736
(C2xC30).169D4 = C6xC23.D5φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).169D4480,745
(C2xC30).170D4 = C5xC42:4S3φ: D4/C22 → C2 ⊆ Aut C2xC301202(C2xC30).170D4480,124
(C2xC30).171D4 = C5xC23.6D6φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).171D4480,125
(C2xC30).172D4 = C5xC6.Q16φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).172D4480,126
(C2xC30).173D4 = C5xC12.Q8φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).173D4480,127
(C2xC30).174D4 = C5xC6.D8φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).174D4480,128
(C2xC30).175D4 = C5xC6.SD16φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).175D4480,129
(C2xC30).176D4 = C5xD4:Dic3φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).176D4480,151
(C2xC30).177D4 = C5xQ8:2Dic3φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).177D4480,154
(C2xC30).178D4 = C10xDic3:C4φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).178D4480,802
(C2xC30).179D4 = C10xD6:C4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).179D4480,806
(C2xC30).180D4 = C5xC23.28D6φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).180D4480,808
(C2xC30).181D4 = C10xD4:S3φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).181D4480,810
(C2xC30).182D4 = C5xD12:6C22φ: D4/C22 → C2 ⊆ Aut C2xC301204(C2xC30).182D4480,811
(C2xC30).183D4 = C10xD4.S3φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).183D4480,812
(C2xC30).184D4 = C10xQ8:2S3φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).184D4480,820
(C2xC30).185D4 = C5xQ8.11D6φ: D4/C22 → C2 ⊆ Aut C2xC302404(C2xC30).185D4480,821
(C2xC30).186D4 = C10xC3:Q16φ: D4/C22 → C2 ⊆ Aut C2xC30480(C2xC30).186D4480,822
(C2xC30).187D4 = C10xC6.D4φ: D4/C22 → C2 ⊆ Aut C2xC30240(C2xC30).187D4480,831
(C2xC30).188D4 = C15xC2.C42central extension (φ=1)480(C2xC30).188D4480,198
(C2xC30).189D4 = C15xD4:C4central extension (φ=1)240(C2xC30).189D4480,205
(C2xC30).190D4 = C15xQ8:C4central extension (φ=1)480(C2xC30).190D4480,206
(C2xC30).191D4 = C15xC4.Q8central extension (φ=1)480(C2xC30).191D4480,209
(C2xC30).192D4 = C15xC2.D8central extension (φ=1)480(C2xC30).192D4480,210
(C2xC30).193D4 = C22:C4xC30central extension (φ=1)240(C2xC30).193D4480,920
(C2xC30).194D4 = C4:C4xC30central extension (φ=1)480(C2xC30).194D4480,921
(C2xC30).195D4 = D8xC30central extension (φ=1)240(C2xC30).195D4480,937
(C2xC30).196D4 = SD16xC30central extension (φ=1)240(C2xC30).196D4480,938
(C2xC30).197D4 = Q16xC30central extension (φ=1)480(C2xC30).197D4480,939

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